Mathematical physics

The application to Biology of the methodologies developed in Physics is attracting an increasing interest from the scientific community.

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics.

The study of the mechanisms that govern origin and propagation of stellar jets involves the treatment of many concurrent physical processes such as gravitation, hydrodynamics and magnetohydrodynamics, atomic physics and radiation.

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory.

Complicated many-particle problems abound in nature and in research alike.

Einstein's equations stem from General Relativity.

This book has been prepared to celebrate the 65th birthday of Gabriele Veneziano and his retirement from CERN in September 2007.

This volume on spin glasses, structural glasses and biological macromolecules collects pedagogically written lecture notes of internationally renowned - perts from eight countries, who work on di?

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available.

The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem.

Reinvigorated by advances and insights, in particular from the active fields of quantum information and computing, the quantum theory of irreversible processes has recently attracted growing attention.

Recently, analogies between laboratory physics (e.

Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?

The Augmented Spherical Wave (ASW) method is one of the most powerful approaches for handling the requirements of finite basis sets in DFT calculations.

By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics.

Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years.

This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists.

In recent years the subject of relativistic fluid dynamics has found substantial applications in astrophysics and cosmology (theories of gravitational collapse, models of neutron stars, galaxy formation), as well as in plasma physics (relativistic fluids have been considered as models for relativistic particle beams) and nuclear physics (relativistic fluids are currently used in the analysis of the heavy ion reactions).

This volume represents a part of the main result obtained bya group of French probabilists, together with thecontributions of a number of colleagues, mainly from the USAand Japan.

Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics.

Inspired by the general configuration characteristics of automatic production lines, the author discusses the modelisation of important sectors of a factory.

White Noise Calculus is a distribution theory on Gaussian space, proposed by T.

The authors study dynamical effects of incidentcompressional and distortional elastic waves on a layer ofplanar, cylindrical, or spherical geometry, especiallyfocusing on the stress fields surrounding the layer.

This book is composed of two texts, by R.

Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion.

With the advent of sophisticated computer technology and the development of efficient computational algorithms, numerical modeling of complex multicomponent laminar reacting flows has emerged as an increasingly popular and firmly established area of scientific research.

In this monograph the recursion method is presented as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium.

In this volume of original research papers, the main topics discussed relate to the asymptotic windings of planar Brownian motion, structure equations, closure properties of stochastic integrals.

1) Phase Transitions, represented by generalizations of the classical Stefan problem.

This monograph is concerned with the equilibrium of linearly elastic cylinders.

The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics.

The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classical and quantized fields.

This volume contains the text of four sets of lecturesdelivered at the third session of the Summer Schoolorganized by C.

The book incorporates research papers and surveys written byparticipants ofan International Scientific Programme onApproximation Theory jointly supervised by Institute forConstructive Mathematics of University of South Florida atTampa, USA and the Euler International MathematicalInstituteat St.

This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991.

Stochastic processes with independent increments on a groupare generalized to the concept of "e;white noise"e; on a Hopfalgebra or bialgebra.

Molecularly small confined phases play an important role in many scientific and engineering disciplines.

'Fractal geometry addressesitselfto questions that many people have been asking themselves.

The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31(deg)C and 73 atmospheres pressure.

In general, combustion is a spatially three-dimensional, highly complex physi- co-chemical process oftransient nature.

The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc.

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